Multiple choice

Directions: In the following question, two equations numbered (I) and (II) are given. Student should solve both the equations and mark appropriate answer. I. 2x2 - 12x + 18 = 0 II. y2 + 18 = 459

  1. If x < y

  2. If x > y

  3. If x = y or no relation can be established

  4. If x ≥ y

  5. If x ≤ y
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

I: 2x^2 - 12x + 18 = 0 => x^2 - 6x + 9 = 0 => (x-3)^2 = 0 => x = 3. II: y^2 + 18 = 459 => y^2 = 441 => y = 21 or -21. Comparing x=3 with y=21 and y=-21, we see x < y (if y=21) and x > y (if y=-21). Thus, no relation can be established.

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